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We describe the Gevrey series solutions at singular points of the irregularhypergeometric system (GKZ system) associated with an affine monomial curve. Wealso describe the irregularity complex of such a system with respect to itssingular support. We use restriction and some results in D-module theory toreduce our study to the two dimensional case.

Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve